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Teoriya Veroyatnostei i ee Primeneniya, 1980, Volume 25, Issue 2, Pages 381–389 (Mi tvp1183)  
This article is cited in 7 scientific papers (total in 7 papers)

Short Communications

Unbiased estimators and classification problems for multivariate normal populations

R. A. Abusev, Ya. P. Lumel'skiĭ

Perm
Full-text PDF (608 kB) Citations (7)
Abstract: We obtain the unbiased estimates of multivariate normal probability density and the unbiased estimates of probability density of the sample mean and the sample covariance matrix when independent observations have a normal distribution with unknown mean and variance. This unbiased estimators are used for the construction of the point and group classification rules. It is shown that the error of group classification tends to zero when all sample sizes tend to infinity.
Received: 31.01.1978
English version:
Theory of Probability and its Applications, 1981, Volume 25, Issue 2, Pages 377–384
DOI: https://doi.org/10.1137/1125048
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: R. A. Abusev, Ya. P. Lumel'skiǐ, “Unbiased estimators and classification problems for multivariate normal populations”, Teor. Veroyatnost. i Primenen., 25:2 (1980), 381–389; Theory Probab. Appl., 25:2 (1981), 377–384
Citation in format AMSBIB
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\by R.~A.~Abusev, Ya.~P.~Lumel'ski{\v\i}
\paper Unbiased estimators and classification problems for multivariate normal populations
\jour Teor. Veroyatnost. i Primenen.
\yr 1980
\vol 25
\issue 2
\pages 381--389
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\zmath{https://zbmath.org/?q=an:0468.62046|0442.62038}
\transl
\jour Theory Probab. Appl.
\yr 1981
\vol 25
\issue 2
\pages 377--384
\crossref{https://doi.org/10.1137/1125048}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1980LU72000016}
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  • https://www.mathnet.ru/eng/tvp/v25/i2/p381
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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